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[Перевод] Как работают трансформеры: разбираем математику

fc1a4c81f273b8ed87c1861e5aa8c210.png

В этом посте я представлю подробный пример математики, используемой внутри модели трансформера, чтобы вы получили хорошее представление о работе модели. Чтобы пост был понятным, я многое упрощу. Мы будем выполнять довольно много вычислений вручную, поэтому снизим размерность модели. Например, вместо эмбеддингов из 512 значений мы используем эмбеддинги из 4 значений. Это позволит упростить понимание вычислений. Мы используем произвольные векторы и матрицы, но при желании вы можете выбрать собственные значения.

Как вы увидите, математика модели не так уж сложна. Сложность возникает из-за количества этапов и количества параметров. Перед прочтением этой статьи я рекомендую прочитать пост Illustrated Transformer (или читать их параллельно) [перевод на Хабре]. Это отличный пост, объясняющий модель трансформера интуитивным (и наглядным!) образом, поэтому я не буду объяснять то, что уже объяснено в нём. Моя цель заключается в том, чтобы объяснить, как работает модель трансформера, а не что это такое. Если вы хотите углубиться в подробности, то изучите известную статью Attention is all you need [перевод на Хабре: первая и вторая части].

Обязательные требования

Для понимания статьи необходимы базовые знания линейной алгебры; в основном мы будем выполнять простые матричные умножения, так что специалистом быть необязательно. Кроме того, будут полезны знания основ машинного обучения и глубокого обучения.

Что рассматривается в статье?

  • Полный пример математических вычислений, происходящих в модели трансформера в процессе инференса

  • Объяснение механизмов внимания

  • Объяснение остаточных связей и нормализации слоёв

  • Код для масштабирования модели

Наша цель будет заключаться в использовании модели трансформера в качестве инструмента для перевода, чтобы мы могли передать модели входные данные и ожидать от неё генерации перевода. Например, мы можем передать «Hello World» на английском и ожидать на выходе получить «Hola Mundo» на испанском.

Давайте взглянем на пугающую диаграмму трансформера (не бойтесь, скоро вы её поймёте!):

Модель трансформера из статьи «Attention is all you need»
Модель трансформера из статьи «Attention is all you need»

Исходная модель трансформера состоит из двух частей: кодировщика (encoder) и декодера (decoder). Кодировщик занимается «пониманием» или «осознанием смысла» входного текста, а декодер выполняет генерацию выходного текста. Давайте рассмотрим кодировщик.

Кодировщик

Цель работы кодировщика заключается в генерации обогащённого эмбеддингами описания входного текста. Этот эмбеддинг отражает семантическую информацию о входном тексте и передаётся декодеру для генерации выходного текста. Кодировщик состоит из стека из N слоёв. Прежде чем переходить к слоям, нужно разобраться, как передавать слова (или токены) в модель.

Примечание

Термин «эмбеддинг» используется слишком часто. Сначала мы создадим эмбеддинг, который будет входными данными для кодировщика. Кодировщик тоже создаёт на выходе эмбеддинг (иногда называемый hidden states). Декодер тоже получает эмбеддинг! Весь смысл в том, что эмбеддинг описывает токен в виде вектора.

0. Токенизация

Модели машинного обучения могут обрабатывать числа, а не текст, так что нам нужно превратить входной текст в числа. Именно это и выполняет токенизация! Это процесс разбиения входного текста на токены, с каждым из которых связан ID. Например, мы можем разделить текст «Hello World» на два токена: «Hello» и «World». Также мы можем разбить его на символы: «H», «e», «l», «l», «o», « »,«W», «o», «r», «l», «d». Мы сами можем выбирать принцип токенизации, он зависит от данных, с которыми мы работаем.

Для токенизации по словам (разбиения текста на слова) требуется очень большой словарь (всех возможных токенов). В нём слова наподобие «dog» и «dogs» или «run» и «running» будут разными токенами. Словарь символов потребует меньшего объёма, но будет обладать меньшим смыслом (он может быть полезен в языках наподобие китайского, где каждый символ содержит больше информации).

Прогресс двинулся в сторону токенизации по подсловам. Это нечто среднее между токенизацией по словам и по символам. Мы разделяем слова на подслова. Например, слово «tokenization» можно разбить на «token» и «ization». Как принимается решение о месте разбиения слов? Это часть обучения токенизатора при помощи статистического процесса, задача которого заключается в выявлении подслов, которые лучше всего выбрать для конкретного датасета. Это детерминированный процесс (в отличие от обучения модели машинного обучения).

В этой статье я для простоты использую токенизацию по словам. Наша цель будет заключаться в переводе «Hello World» с английского на испанский. Пример «Hello World» мы разобьём на токены «Hello» и «World». Каждому токену присваивается в словаре модели ID. Например, «Hello» может быть токеном 1, а «World» — токеном 2.

1. Эмбеддинг текста

Хотя мы можем передать модели ID токенов (то есть 1 и 2), эти числа не несут никакого смысла. Нужно превратить их в векторы (список чисел). Именно это и выполняет процесс эмбеддинга! Эмбеддинги токена сопоставляют ID токена с вектором фиксированной длины, имеющим семантическое значение токенов. Это создаёт интересные свойства: схожие токены будут иметь схожий эмбеддинг (иными словами, вычисление косинусного коэффициента между двумя эмбеддингами даст нам хорошее понимание степени схожести токенов).

Стоит заметить, что отображение токена в эмбеддинг изучается моделью. Хотя мы можем использовать уже обученный эмбеддинг наподобие word2vec или GloVe, в процессе своего обучения модели трансформеров изучают эти эмбеддинги. Это большое преимущество, поскольку модель может изучить наилучшее описание токенов для поставленной перед ней задачи. Например, модель может научиться тому, что «dog» и «dogs» должны иметь схожие эмбеддинги.

Все эмбеддинги в одной модели имеют одинаковый размер. В трансформере из научной статьи использовался размер 512, но чтобы мы могли выполнять вычисления, снизим его размер до 4. Я назначу каждому токену случайные значения (как говорилось выше, это отображение обычно изучается моделью).

Hello -> [1,2,3,4]

World -> [2,3,4,5]

Примечание

После публикации статьи многие читатели задали вопросы о представленных выше эмбеддингах. Мне было лениво и я просто записал числа, с которыми будет удобно выполнять вычисления. На практике эти числа будут изучаться моделью. Чтобы это было понятнее, я дополнил пост.

Мы можем вычислить схожесть этих векторов при помощи косинусного коэффициента, который для представленных выше векторов будет слишком высоким. На практике вектор, скорее всего, будет выглядеть примерно так: [-0.071, 0.344, -0.12, 0.026, …, -0.008].

Мы можем представить наши входные данные в виде единой матрицы

21ac942d73e513a75f7e6435f4827fca.png

Примечание

Хотя мы и можем обрабатывать два эмбеддинга как два отдельных вектора, проще работать с ними как с единой матрицей, потому что в дальнейшем мы будем выполнять умножение матриц.

2. Позиционное кодирование

Отдельные эмбеддинги в матрице не содержат информации о позиции слов в предложении, так что нам нужна информация о позиции. Её можно создать, добавив к эмбеддингу позиционное кодирование.

Получить его можно различными способами; мы можем использовать изученный эмбеддинг или фиксированный вектор. В исходной научной статье используется фиксированный вектор, потому что авторы не увидели почти никакой разницы между двумя методиками (см. раздел 3.5 статьи). Мы тоже воспользуемся фиксированным вектором. Функции синуса и косинуса имеют волнообразный паттерн и повторяются. Благодаря использованию этих функций каждая позиция в предложении получает уникальное, но согласованное позиционное кодирование. Их повторяемость поможет модели проще изучать паттерны наподобие близости и расстояния между элементами. В статье используются следующие функции:

07739ac8ce5c811f974ff3d5150159cc.png

Смысл заключается в интерполяции между синусом и косинусом для каждого значения в эмбеддинге (для чётных индексов используется синус, для нечётных используется косинус). Давайте вычислим их для нашего примера!

Для «Hello»

  • i = 0 (чётный): PE(0,0) = sin(0 / 10000^(0 / 4)) = sin(0) = 0

  • i = 1 (нечётный): PE(0,1) = cos(0 / 10000^(2*1 / 4)) = cos(0) = 1

  • i = 2 (чётный): PE(0,2) = sin(0 / 10000^(2*2 / 4)) = sin(0) = 0

  • i = 3 (нечётный): PE(0,3) = cos(0 / 10000^(2*3 / 4)) = cos(0) = 1

Для «World»

  • i = 0 (чётный): PE(1,0) = sin(1 / 10000^(0 / 4)) = sin(1 / 10000^0) = sin(1) ≈ 0.84

  • i = 1 (нечётный): PE(1,1) = cos(1 / 10000^(2*1 / 4)) = cos(1 / 10000^0.5) ≈ cos(0.01) ≈ 0.99

  • i = 2 (чётный): PE(1,2) = sin(1 / 10000^(2*2 / 4)) = sin(1 / 10000^1) ≈ 0

  • i = 3 (нечётный): PE(1,3) = cos(1 / 10000^(2*3 / 4)) = cos(1 / 10000^1.5) ≈ 1

В итоге получаем следующее:

  • «Hello» -> [0, 1, 0, 1]

  • «World» -> [0.84, 0.99, 0, 1]

Обратите внимание, что эти кодировки имеют ту же размерность, что и исходный эмбеддинг.

Примечание

Мы используем синус и косинус, как и в исходной научной статье, но есть и другие способы реализации. В очень популярном трансформере BERT применяются обучаемые позиционные эмбеддинги.

3. Добавляем позиционное кодирование и эмбеддинг

Теперь мы добавим к эмбеддингу позиционное кодирование. Это выполняется сложением двух векторов.

«Hello» = [1,2,3,4] + [0, 1, 0, 1] = [1, 3, 3, 5]

«World» = [2,3,4,5] + [0.84, 0.99, 0, 1] = [2.84, 3.99, 4, 6]

То есть наша новая матрица, которая будет входными данными для кодировщика, выглядит так:

b3c1f5027a551dfb3e3e73cc91d26fa3.png

Если посмотреть на изображение из научной статьи, то можно увидеть, что мы только что выполнили левую нижнюю часть изображения (эмбеддинг + позиционное кодирование).

Модель трансформера из статьи «Attention is all you need»
Модель трансформера из статьи «Attention is all you need»

4. Самовнимание

4.1 Определение матриц

Теперь мы введём концепцию многоголового внимания (multi-head attention). Внимание — это механизм, позволяющий модели сосредоточиться на определённых частях входных данных. Многоголовое внимание позволяет модели совместно уделять внимание информации из различных подпространств описаний. Для этого используются множественные головы внимания. Каждая голова внимания имеет собственные матрицы K, V и Q.

Давайте в нашем примере используем две головы внимания. Для этих матриц мы применим случайные значения. Каждая матрица будет иметь размер 4x3. Благодаря этому каждая матрица будет преобразовывать четырёхмерные эмбеддинги в трёхмерные ключи (K), значения (V) и запросы (Q). Это снижает размерность механизма внимания, что помогает управлять вычислительной сложностью. Стоит отметить, что использование слишком малого размера внимания уменьшит точность модели. Давайте используем следующие значения (выбраны произвольно):

Для первой головы

6d6536a6f378872e5551e5ae957dbdf9.png

Для второй головы

ae855c0cdc319b6b83cbfe04f7b10b73.png

4.2 Вычисление ключей, запросов и значений

Для получения ключей, запросов и значений нужно умножить входные эмбеддинги на матрицы весов.

Вычисление ключей

b022aa1304298a0573f65941cb2d6acf.png

На самом деле, нам не нужно вычислять всё это вручную, это будет слишком монотонно. Давайте схитрим и воспользуемся NumPy.

Сначала определим матрицы

import numpy as np

WK1 = np.array([[1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0]])
WV1 = np.array([[0, 1, 1], [1, 0, 0], [1, 0, 1], [0, 1, 0]])
WQ1 = np.array([[0, 0, 0], [1, 1, 0], [0, 0, 1], [1, 0, 0]])

WK2 = np.array([[0, 1, 1], [1, 0, 1], [1, 1, 0], [0, 1, 0]])
WV2 = np.array([[1, 0, 0], [0, 1, 1], [0, 0, 1], [1, 0, 0]])
WQ2 = np.array([[1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 1, 1]])

И убедимся, что в приведённых выше вычислениях нет никаких ошибок.

embedding = np.array([[1, 3, 3, 5], [2.84, 3.99, 4, 6]])
K1 = embedding @ WK1
K1
array([[4.  , 8.  , 4.  ],
       [6.84, 9.99, 6.84]])

Отлично! Теперь давайте получим значения и запросы

Вычисление значений

V1 = embedding @ WV1
V1
array([[6.  , 6.  , 4.  ],
       [7.99, 8.84, 6.84]])

Вычисление запросов

Q1 = embedding @ WQ1
Q1
array([[8.  , 3.  , 3.  ],
       [9.99, 3.99, 4.  ]])

Давайте пока пропустим вторую голову и сосредоточимся на окончательном результате первой головы. Ко второй голове мы вернёмся позже.

4.3 Вычисление внимания

Для вычисления показателя внимания требуется пара шагов:

  1. Вычисление скалярного произведения запроса и каждого ключа

  2. Деление результата на квадратный корень размерности вектора ключа

  3. Применение функции softmax для получения весов внимания

  4. Умножение каждого вектора значения на веса внимания

4.3.1 Скалярное произведение запроса и каждого ключа

Для вычисления результата для «Hello» необходимо вычислить скалярное произведение q1 и каждого вектора ключа (k1 и k2)

9d2504e2828fd8ea6d6c94e98d42be9a.png

В мире матриц это будет равно Q1, умноженному на перестановку K1

6e4a5525d96bde952b7b76024dc842d5.png

Я могу сделать ошибку, так что давайте проверим всё это ещё раз с помощью Python

scores1 = Q1 @ K1.T
scores1
array([[ 68.    , 105.21  ],
       [ 87.88  , 135.5517]])

4.3.2 Деление на квадратный корень размерности вектора ключа

Затем мы делим показатели на квадратный корень размерности (d) ключей (в данном случае это 3, но в научной статье она была равна 64). Почему? При больших значениях d скалярное произведение растёт слишком быстро (ведь мы складываем умножение кучи чисел, что приводит к большим значениям). А большие значения — это плохо! Подробнее мы поговорим об этом чуть позже.

scores1 = scores1 / np.sqrt(3)
scores1
array([[39.2598183 , 60.74302182],
       [50.73754166, 78.26081048]])

4.3.3 Применение функции softmax

Далее используем softmax для нормализации, чтобы все они были положительны и в сумме равнялись 1.

Что такое softmax?

Softmax — это функция, получающая вектор значений и возвращающая вектор значений между 0 и 1, в котором сумма значений равна 1. Это удобный способ получения вероятностей. Функция определяется следующим образом:

e7a48588f466c4234929d03def3500f0.png

Не пугайтесь этой формулы, на самом деле она довольно проста. Допустим, у нас есть следующий вектор:

c750d84109caee4305daf1dfafe58f80.png

Softmax этого вектора будет такой:

c6c21d57fe4f33b902add6e0b6bed43f.png

Как видите, все значения положительны и в сумме дают 1.

def softmax(x):
    return np.exp(x) / np.sum(np.exp(x), axis=1, keepdims=True)


scores1 = softmax(scores1)
scores1
array([[4.67695573e-10, 1.00000000e+00],
       [1.11377182e-12, 1.00000000e+00]])

4.3.4 Умножение матрицы значений на веса внимания

Далее мы умножаем на матрицу значений

attention1 = scores1 @ V1
attention1
array([[7.99, 8.84, 6.84],
       [7.99, 8.84, 6.84]])

Давайте объединим 4.3.1, 4.3.2, 4.3.3 и 4.3.4 в одну формулу с использованием матриц (это из раздела 3.2.1 научной статьи):

a02751d90c6c85873ce9b30671a9496a.png

Да, вот и всё! Все проделанные нами вычисления можно легко свести к показанной выше формуле внимания! Давайте перенесём это в код.

def attention(x, WQ, WK, WV):
    K = x @ WK
    V = x @ WV
    Q = x @ WQ

    scores = Q @ K.T
    scores = scores / np.sqrt(3)
    scores = softmax(scores)
    scores = scores @ V
    return scores
attention(embedding, WQ1, WK1, WV1)
array([[7.99, 8.84, 6.84],
       [7.99, 8.84, 6.84]])

Мы убедились, что значения те же, что и получены выше. Давайте воспользуемся этим кодом для получения показателей внимания второй головы внимания:

attention2 = attention(embedding, WQ2, WK2, WV2)
attention2
array([[8.84, 3.99, 7.99],
       [8.84, 3.99, 7.99]])

Если вас интересует, как внимание стало одинаковым для двух эмбеддингов, то это вызвано тем, что softmax переводит показатели в 0 и 1. Смотрите:

softmax(((embedding @ WQ2) @ (embedding @ WK2).T) / np.sqrt(3))
array([[1.10613872e-14, 1.00000000e+00],
       [4.95934510e-20, 1.00000000e+00]])

Это вызвано плохой инициализацией матриц и маленьким размерам векторов. Большие различиях в показателях до применения softmax будут лишь усилены, приводя к том, что одно значение будет близко к 1, а другие к 0. На практике наши исходные значения матрицы эмбеддингов были слишком велики, что привело к высоким значениям для ключей, значений и запросов, которые при умножении становились только выше.

Помните, как мы выполняли деление на квадратный корень размерности ключей? Именно поэтому мы это и делали, в противном случае значения скалярного произведения были бы слишком большими, из-за чего получились бы большие значения после softmax. Однако в данном случае, похоже, этого не было достаточно, учитывая наши небольшие значения! В качестве быстрого хака мы можем уменьшить масштаб значений на меньшее значение, чем квадратный корень трёх. Давайте переопределим функцию внимания, уменьшив масштаб на 30. В долгой перспективе это плохое решение, но оно поможет нам получить разные значения для показателей внимания. Позже мы вернёмся к более качественному решению.

def attention(x, WQ, WK, WV):
    K = x @ WK
    V = x @ WV
    Q = x @ WQ

    scores = Q @ K.T
    scores = scores / 30  # we just changed this
    scores = softmax(scores)
    scores = scores @ V
    return scores
attention1 = attention(embedding, WQ1, WK1, WV1)
attention1
array([[7.54348784, 8.20276657, 6.20276657],
       [7.65266185, 8.35857269, 6.35857269]])
attention2 = attention(embedding, WQ2, WK2, WV2)
attention2
array([[8.45589591, 3.85610456, 7.72085664],
       [8.63740591, 3.91937741, 7.84804146]])

4.3.5 Выходные значения внимания голов

Следующий слой кодировщика ожидает на входе одну матрицу, а не две. Первым этапом будет конкатенация выходных значений двух голов (см. раздел 3.2.2 научной статьи)

attentions = np.concatenate([attention1, attention2], axis=1)
attentions
array([[7.54348784, 8.20276657, 6.20276657, 8.45589591, 3.85610456,
        7.72085664],
       [7.65266185, 8.35857269, 6.35857269, 8.63740591, 3.91937741,
        7.84804146]])

Затем мы умножаем эту конкатенированную матрицу на матрицу весов, чтобы получить окончательный результат слоя внимания. Этой матрице весов модель тоже обучается! Размерность матрицы гарантирует, что мы вернёмся к той же размерности, что была у эмбеддинга (в нашем случае 4).

# Просто произвольные значения
W = np.array(
    [
        [0.79445237, 0.1081456, 0.27411536, 0.78394531],
        [0.29081936, -0.36187258, -0.32312791, -0.48530339],
        [-0.36702934, -0.76471963, -0.88058366, -1.73713022],
        [-0.02305587, -0.64315981, -0.68306653, -1.25393866],
        [0.29077448, -0.04121674, 0.01509932, 0.13149906],
        [0.57451867, -0.08895355, 0.02190485, 0.24535932],
    ]
)
Z = attentions @ W
Z
array([[ 11.46394285, -13.18016471, -11.59340253, -17.04387829],
       [ 11.62608573, -13.47454936, -11.87126395, -17.4926367 ]])

Всё это можно объединить в изображение из The Ilustrated Transformer

Attention
Attention

5. Слой с прямой связью

5.1 Простой слой с прямой связью

После слоя самовнимания у кодировщика идёт нейронная сеть с прямой связью (feed-forward neural network, FFN). Это простая сеть с двумя линейными преобразованиями и активацией ReLU между ними. В посте The Illustrated Transformer подробностей об этом нет, так что я вкратце объясню этот слой. Цель FFN заключается в обработке и трансформировании описания, созданного механизмом внимания. Поток обычно выглядит так (см. раздел 3.3 научной статьи):

  1. Первый линейный слой: обычно он расширяет размерность входных данных. Например, если размерность входных данных равна 512, то размерность выходных данных может быть равна 2048. Это выполняется для того, чтобы позволить модели изучать более сложные функции. В нашем простом примере с размерностью 4 мы расширимся до 8.

  2. Активация ReLU: нелинейная функция активации. Это простая функция, возвращающая 0, если входные данные отрицательны, и входные данные, если они положительны. Это позволяет модели обучаться нелинейным функциям. Вычисления выглядят так:

262eac2557430f65416a724b1505a335.png
  1. Второй линейный слой: он противоположен первому линейному слою. Этот слой снова возвращает размерность к исходной. В нашем примере он выполнит снижение с 8 до 4.

Всё это можно описать следующим образом

bbc6f12f046194f7a985ee22eeb560c8.png

Напомню, что входными данными для этого слоя является Z, которое мы вычислили в самовнимании. Вот какие значения мы там получили

98bd6018fe81f8a9ce807877020cc5d8.png

Теперь давайте зададим произвольные значения для матриц весов и векторов смещений. Я сделаю это в коде, но если у вас хватит терпения, то можете задать их вручную!

W1 = np.random.randn(4, 8)
W2 = np.random.randn(8, 4)
b1 = np.random.randn(8)
b2 = np.random.randn(4)

А теперь давайте запишем функцию прямого прохода

def relu(x):
    return np.maximum(0, x)

def feed_forward(Z, W1, b1, W2, b2):
    return relu(Z.dot(W1) + b1).dot(W2) + b2
output_encoder = feed_forward(Z, W1, b1, W2, b2)
output_encoder
array([[ -3.24115016,  -9.7901049 , -29.42555675, -19.93135286],
       [ -3.40199463,  -9.87245924, -30.05715408, -20.05271018]])

5.2 Объединяем всё: произвольный кодировщик

Теперь давайте напишем код, чтобы объединить в блоке кодировщика многоголовое внимание и прямую связь.

Примечание

Код оптимизирован для понимания и образовательных целей, а не для производительности, не судите слишком строго!

d_embedding = 4
d_key = d_value = d_query = 3
d_feed_forward = 8
n_attention_heads = 2

def attention(x, WQ, WK, WV):
    K = x @ WK
    V = x @ WV
    Q = x @ WQ

    scores = Q @ K.T
    scores = scores / np.sqrt(d_key)
    scores = softmax(scores)
    scores = scores @ V
    return scores

def multi_head_attention(x, WQs, WKs, WVs):
    attentions = np.concatenate(
        [attention(x, WQ, WK, WV) for WQ, WK, WV in zip(WQs, WKs, WVs)], axis=1
    )
    W = np.random.randn(n_attention_heads * d_value, d_embedding)
    return attentions @ W

def feed_forward(Z, W1, b1, W2, b2):
    return relu(Z.dot(W1) + b1).dot(W2) + b2

def encoder_block(x, WQs, WKs, WVs, W1, b1, W2, b2):
    Z = multi_head_attention(x, WQs, WKs, WVs)
    Z = feed_forward(Z, W1, b1, W2, b2)
    return Z

def random_encoder_block(x):
    WQs = [
        np.random.randn(d_embedding, d_query) for _ in range(n_attention_heads)
    ]
    WKs = [
        np.random.randn(d_embedding, d_key) for _ in range(n_attention_heads)
    ]
    WVs = [
        np.random.randn(d_embedding, d_value) for _ in range(n_attention_heads)
    ]
    W1 = np.random.randn(d_embedding, d_feed_forward)
    b1 = np.random.randn(d_feed_forward)
    W2 = np.random.randn(d_feed_forward, d_embedding)
    b2 = np.random.randn(d_embedding)
    return encoder_block(x, WQs, WKs, WVs, W1, b1, W2, b2)

Вспомним наши входные данные в матрице E, имеющие позиционное кодирование и эмбеддинг.

embedding
array([[1.  , 3.  , 3.  , 5.  ],
       [2.84, 3.99, 4.  , 6.  ]])

Теперь передадим это нашей функции random_encoder_block

random_encoder_block(embedding)
array([[ -71.76537515, -131.43316885,   13.2938131 ,   -4.26831998],
       [ -72.04253781, -131.84091347,   13.3385937 ,   -4.32872015]])

Отлично! Это был всего один блок кодировщика. В научной статье применяются шесть кодировщиков. Выходные данные одного кодировщика передаются на следующий и так далее:

def encoder(x, n=6):
    for _ in range(n):
        x = random_encoder_block(x)
    return x


encoder(embedding)
/tmp/ipykernel_11906/1045810361.py:2: RuntimeWarning: overflow encountered in exp
  return np.exp(x)/np.sum(np.exp(x),axis=1, keepdims=True)
/tmp/ipykernel_11906/1045810361.py:2: RuntimeWarning: invalid value encountered in divide
  return np.exp(x)/np.sum(np.exp(x),axis=1, keepdims=True)
array([[nan, nan, nan, nan],
       [nan, nan, nan, nan]])

5.3 Остаточные связи и нормализация слоёв

Ой-ёй! У нас начали появляться NaN! Похоже, наши значения слишком велики и при передаче следующему кодировщику они оказываются слишком большими и «взрываются»! Эта проблема слишком больших значений часто возникает при обучении моделей. Например, когда мы выполняем обратное распространение ошибки (методику, при помощи которой модели обучаются), градиенты могут оказаться слишком большими и в результате «взрываются»; это называется взрывом градиентов (gradient explosion). Без нормализации небольшие изменения во входных данных на первых слоях в последующих слоях усиливаются. Это распространённая проблема в глубоких нейросетях. Существует два способа борьбы с этой проблемой: остаточные связи и нормализация слоёв (они вкратце упоминаются в разделе 3.1 научной статьи).

  • Остаточные связи просто прибавляют входные данные слоя к его выходным данным. Например, мы складываем исходный эмбеддинг с выходными данными внимания. Остаточные связи устраняют проблему исчезающих градиентов. Логика в том, что если градиент слишком мал, то мы можем просто сложить входные данные к выходным, и градиент станет больше. Вычисления очень просты:

f57ea26cb87a7dc176fe66b656dc2bbb.png

Вот и всё! Мы сделаем это для выходных данных внимания и выходных данных слоя с прямой связью.

  • Нормализация слоя — это методика нормализации входных данных слоя. Она выполняет нормализацию по размерности эмбеддинга. Логика в том, что мы хотим нормализовать входные значения слоя, чтобы они имели среднее значение 0 и квадратическое отклонение 1. Это помогает с градиентным потоком. Вычисления на первый взгляд выглядят не так уж просто.

e86b11dab9af842f994c4919c2e5d7ab.png

Давайте объясним каждый параметр:

  • μ — это среднее значение эмбеддинга

  • σ — это квадратическое отклонение эмбеддинга

  • ε — это малое число, чтобы избежать деления на ноль. В случае нулевого значения квадратичного отклонения этот маленький эпсилон спасает нас.

  • γ и β — это изучаемые параметры, управляющие этапами масштабирования и сдвига.

В отличие от пакетной нормализации (batch normalization, не волнуйтесь, если не знаете, что это такое), нормализация слоёв нормализует по размерности эмбеддинга; это означает, что на каждый эмбеддинг не будут влиять другие сэмплы в пакете. Идея заключается в том, что мы хотим нормализовать входные данные слоя, чтобы они имели среднее значение 0 и квадратичное отклонение 1.

Зачем мы добавляем изучаемые параметры γ и β? Причина в том, что мы не хотим терять силу представления слоя. Если просто нормализовать входные данные, то какая-то информация может потеряться. Добавляя изучаемые параметры, мы можем научиться масштабировать и сдвигать нормализованные значения.

Соединив эти уравнения, мы получим уравнение для всего кодировщика:

a0ac41a886c0c090a94831b723273008.png

Давайте проверим его на нашем примере! Возьмём прежние значения E и Z:

93bf47f27dedfcf295a42d2a389532c0.png

Теперь давайте вычислим нормализацию слоя; можно разделить этот процесс на три этапа:

  1. Вычисление среднего и дисперсии для каждого эмбеддинга.

  2. Нормализация вычитанием среднего в своей строке и делением на квадратный корень дисперсии строки (плюс малое число, чтобы избежать деления на ноль).

  3. Масштабирование и сдвиг умножением на гамму и прибавлением беты.

5.3.1 Среднее и дисперсия

Для первого эмбеддинга

7612e4d1500e7da378314073941be8ec.png

То же самое можно сделать для второго эмбеддинга. Пропустим сами вычисления и покажем только результат.

18f35a79565b79570fe341e8b6d85172.png

Давайте проверим при помощи Python

(embedding + Z).mean(axis=-1, keepdims=True)
array([[-4.58837567],
       [-3.59559107]])
(embedding + Z).std(axis=-1, keepdims=True)
array([[ 9.92061529],
       [10.50653019]])

Отлично! Теперь нормализуем

5.3.2 Нормализация

При нормализации из каждого значения в эмбеддинге мы вычитаем среднее и делим его на квадратичное отклонение. Эпсилон — это очень маленькое значение, например, 0,00001. Чтобы упростить, будем считать, что γ = 1, а β = 0.

ffe25dfe71f08897906a58c82bd44a0f.png

Для второго эмбеддинга мы не будем выполнять вычисления вручную. Проверим их при помощи кода. Переопределим функцию encoder_block, внеся следующее изменение:

def layer_norm(x, epsilon=1e-6):
    mean = x.mean(axis=-1, keepdims=True)
    std = x.std(axis=-1, keepdims=True)
    return (x - mean) / (std + epsilon)

def encoder_block(x, WQs, WKs, WVs, W1, b1, W2, b2):
    Z = multi_head_attention(x, WQs, WKs, WVs)
    Z = layer_norm(Z + x)

    output = feed_forward(Z, W1, b1, W2, b2)
    return layer_norm(output + Z)
layer_norm(Z + embedding)
array([[ 1.71887693, -0.56365339, -0.40370747, -0.75151608],
       [ 1.71909039, -0.56050453, -0.40695381, -0.75163205]])

Сработало! Давайте ещё раз попробуем пропустить эмбеддинг через шесть кодировщиков.

def encoder(x, n=6):
    for _ in range(n):
        x = random_encoder_block(x)
    return x


encoder(embedding)
array([[-0.335849  , -1.44504571,  1.21698183,  0.56391289],
       [-0.33583947, -1.44504861,  1.21698606,  0.56390202]])

Отлично! Значения приемлемые и отсутствуют NaN! Идея стека кодировщиков заключается в том, что на выходе они выдают непрерывное описание z, передающее смысл входной последовательности. Затем это описание передаётся декодеру, который генерирует выходную последовательность символов по одному элементу за раз.

Прежде чем приступать к декодеру, взглянем на изображение из потрясающего поста Джея:

Кодировщик и декодер
Кодировщик и декодер

Каждый из элементов в левой части должен быть вам уже понятен! Впечатляет, правда? А теперь давайте перейдём к декодеру.

Декодер

Большинство знаний, полученных при изучении кодировщиков, будет использоваться и в декодере! Декодер имеет два слоя самовнимания, один для кодировщика, другой для декодера. Также декодер имеет слой с прямой связью. Давайте разберём каждую из частей по порядку.

Блок декодера получает два элемента входных данных: выходные данные кодировщика и сгенерированную выходную последовательность. Выходные данные кодировщика — это описание входной последовательности. В процессе инференса сгенерированная выходная последовательность начинается с особого токена начала последовательности (start-of-sequence token, SOS). Во время обучения целевая выходная последовательность — это действительная выходная последовательность, сдвинутая на одну позицию. Скоро это станет вам понятнее!

Имея сгенерированный кодировщиком эмбеддинг и токен SOS, декодер генерирует следующий токен последовательности, то есть «hola». Декодер авторегрессивен, то есть он берёт ранее сгенерированные токены и снова генерирует второй токен.

  • Итерация 1: входные данные — SOS, выходные — «hola»

  • Итерация 2: входные данные — SOS + «hola», выходные — «mundo»

  • Итерация 3: входные данные — SOS + «hola» + «mundo», выходные — EOS

Здесь SOS — это токен начала последовательности, а EOS — токен конца последовательности. После генерации токена EOS декодер прекращает работу. Он генерирует по одному токену за раз. Обратите внимание, что во всех итерациях используется эмбеддинг, сгенерированный кодировщиком.

Примечание

Такая авторегрессивная структура замедляет работу декодера. Кодировщик способен генерировать свой эмбеддинг за один прямой проход, а декодеру необходимо выполнить множество прямых проходов. Это одна из причин, по которым архитектуры, использующие один кодировщик (например, BERT или модели схожести предложений) гораздо быстрее, чем архитектуры с одними только декодерами (например, GPT-2 или BART).

Давайте разберём каждый из этапов! Как и кодировщик, декодер состоит из стека блоков декодеров. Блок декодера чуть сложнее, чем блок кодировщика. Его общая структура такова:

  1. Слой самовнимания (маскированный)

  2. Остаточная связь и нормализация слоя

  3. Слой внимания кодировщика-декодера

  4. Остаточная связь и нормализация слоя

  5. Слой с прямой связью

  6. Остаточная связь и нормализация слоя

Мы уже знакомы со всей математикой пунктов 1, 2, 3, 5 и 6. Взглянув на правую часть изображения ниже, вы увидите, что все эти блоки вам уже известны :

Модель трансформера из статьи «Attention is all you need»
Модель трансформера из статьи «Attention is all you need»

1. Эмбеддинг текста

Первый текст декодера нужен для эмбеддинга входных токенов. Входным токеном является SOS, так что мы выполняем его эмбеддинг. Используется та же размерность эмбеддинга, что и для кодировщика. Предположим, вектор эмбеддинга для SOS имеет такой вид:

35f571ab480469598afaf2272b2ac2ea.png

2. Позиционное кодирование

Теперь мы добавим в эмбеддинг позиционное кодирование, как делали это в случае с кодировщиком. Учитывая, что это так же позиция, что и у «Hello», у нас будет то же позиционное кодирование, что и раньше:

  • i = 0 (чётный): PE(0,0) = sin(0 / 10000^(0 / 4)) = sin(0) = 0

  • i = 1 (нечётный): PE(0,1) = cos(0 / 10000^(2*1 / 4)) = cos(0) = 1

  • i = 2 (чётный): PE(0,2) = sin(0 / 10000^(2*2 / 4)) = sin(0) = 0

  • i = 3 (нечётный): PE(0,3) = cos(0 / 10000^(2*3 / 4)) = cos(0) = 1

3. Сложение позиционного кодирования и эмбеддинга

Сложение позиционного кодирования с эмбеддингом выполняется сложением двух векторов:

94c8d59a4656853cd52979ac450b716b.png

4. Самовнимание

Первый этап в блоке декодера — это механизм самовнимания. К счастью, у нас есть для этого код и мы можем просто его использовать!

d_embedding = 4
n_attention_heads = 2

E = np.array([[1, 1, 0, 1]])
WQs = [np.random.randn(d_embedding, d_query) for _ in range(n_attention_heads)]
WKs = [np.random.randn(d_embedding, d_key) for _ in range(n_attention_heads)]
WVs = [np.random.randn(d_embedding, d_value) for _ in range(n_attention_heads)]

Z_self_attention = multi_head_attention(E, WQs, WKs, WVs)
Z_self_attention
array([[ 2.19334924, 10.61851198, -4.50089666, -2.76366551]])

Примечание

С точки зрения инференса всё довольно просто, однако с точки зрения обучения есть сложности. При обучении мы используем неразмеченные данные: просто кучу текстовых данных, которые собираем частым скрейпингом в вебе. Цель кодировщика — передача всей информации входных данных, а задача декодера —предсказание следующего наиболее вероятного токена. Это значит, что декодер может использовать только ранее сгенерированные токены (он не может схитрить и посмотреть следующие токены).

Из-за этого мы используем маскированное самовнимание: маскируем ещё не сгенерированные токены. Это выполняется присвоением показателям внимания значений -inf. Так делается в научной статье (раздел 3.2.3.1). Пока мы это пропустим, но важно помнить, что при обучении декодер чуть сложнее.

5. Остаточные связи и нормализация слоёв

Здесь нет ничего таинственного, мы просто складываем входные данные с выходными данными самовнимания и применяем нормализацию слоя. Используется тот же код, что и выше.

Z_self_attention = layer_norm(Z_self_attention + E)
Z_self_attention
array([[ 0.17236212,  1.54684892, -1.0828824 , -0.63632864]])

6. Внимание кодировщика-декодера

Эта часть новая! Если вы задавались вопросом, куда направляются генерируемые кодировщиком эмбеддинги, то сейчас самое время для них!

Предположим, что выходными данными кодировщика является такая матрица:

fc2024fb11fec40a9e7153c6615fc0ce.png

В механизме самовнимания мы вычисляем запросы, ключи и значения для входного эмбеддинга.

Во внимании кодировщика-декодера мы вычисляем запросы из предыдущего слоя декодера и ключи и значения из выходных данных кодировщика! Все вычисления остаются такими же, что и раньше; единственное отличие в том, какой эмбеддинг использовать для запросов. Давайте взглянем на код

def encoder_decoder_attention(encoder_output, attention_input, WQ, WK, WV):
    # В следующих трёх строках и состоит основное различие!
    K = encoder_output @ WK    # Обратите внимание, что теперь мы передаём предыдущие выходные данные кодировщика!
    V = encoder_output @ WV    # Обратите внимание, что теперь мы передаём предыдущие выходные данные кодировщика!
    Q = attention_input @ WQ   # То же, что и для самовнимания

    # Остаётся таким же
    scores = Q @ K.T
    scores = scores / np.sqrt(d_key)
    scores = softmax(scores)
    scores = scores @ V
    return scores


def multi_head_encoder_decoder_attention(
    encoder_output, attention_input, WQs, WKs, WVs
):
    # Обратите внимание, что теперь мы передаём предыдущие выходные данные кодировщика!
    attentions = np.concatenate(
        [
            encoder_decoder_attention(
                encoder_output, attention_input, WQ, WK, WV
            )
            for WQ, WK, WV in zip(WQs, WKs, WVs)
        ],
        axis=1,
    )
    W = np.random.randn(n_attention_heads * d_value, d_embedding)
    return attentions @ W
WQs = [np.random.randn(d_embedding, d_query) for _ in range(n_attention_heads)]
WKs = [np.random.randn(d_embedding, d_key) for _ in range(n_attention_heads)]
WVs = [np.random.randn(d_embedding, d_value) for _ in range(n_attention_heads)]

encoder_output = np.array([[-1.5, 1.0, -0.8, 1.5], [1.0, -1.0, -0.5, 1.0]])

Z_encoder_decoder = multi_head_encoder_decoder_attention(
    encoder_output, Z_self_attention, WQs, WKs, WVs
)
Z_encoder_decoder
array([[ 1.57651431,  4.92489307, -0.08644448, -0.46776051]])

Сработало! Возможно, вы зададитесь вопросом: «зачем мы это делаем?». Дело в том, что мы хотим, чтобы декодер сосредоточился на релевантных частях входного текста (то есть «hello world»). Внимание кодировщика-декодера позволяет каждой позиции в декодере посетить все позиции входной последовательности. Это очень полезно для таких задач, как перевод, когда декодеру нужно сосредоточиться на релевантных частях входной последовательности. Декодер будет учиться сосредотачиваться на релевантных частях входной последовательности, учась генерировать правильные выходные токены. Это очень мощный механизм!

7. Остаточные связи и нормализация слоя

Всё то же, что и раньше!

Z_encoder_decoder = layer_norm(Z_encoder_decoder + Z_self_attention)
Z_encoder_decoder
array([[-0.44406723,  1.6552893 , -0.19984632, -1.01137575]])

8. Слой с прямой связью

И тут то же самое! После этого я также выполню остаточную связь и нормализацию слоя.

W1 = np.random.randn(4, 8)
W2 = np.random.randn(8, 4)
b1 = np.random.randn(8)
b2 = np.random.randn(4)

output = layer_norm(feed_forward(Z_encoder_decoder, W1, b1, W2, b2) + Z_encoder_decoder)
output
array([[-0.97650182,  0.81470137, -2.79122044, -3.39192873]])

9. Объединяем всё: произвольный декодер

Давайте напишем код для одного блока декодера. Самое главное изменение заключается в том, что теперь у нас есть дополнительный механизм внимания.

d_embedding = 4
d_key = d_value = d_query = 3
d_feed_forward = 8
n_attention_heads = 2
encoder_output = np.array([[-1.5, 1.0, -0.8, 1.5], [1.0, -1.0, -0.5, 1.0]])

def decoder_block(
    x,
    encoder_output,
    WQs_self_attention, WKs_self_attention, WVs_self_attention,
    WQs_ed_attention, WKs_ed_attention, WVs_ed_attention,
    W1, b1, W2, b2,
):
    # То же, что и раньше
    Z = multi_head_attention(
        x, WQs_self_attention, WKs_self_attention, WVs_self_attention
    )
    Z = layer_norm(Z + x)

    # Основное различие заключается в следующих трёх строках!
    Z_encoder_decoder = multi_head_encoder_decoder_attention(
        encoder_output, Z, WQs_ed_attention, WKs_ed_attention, WVs_ed_attention
    )
    Z_encoder_decoder = layer_norm(Z_encoder_decoder + Z)

    # То же, что и раньше
    output = feed_forward(Z_encoder_decoder, W1, b1, W2, b2)
    return layer_norm(output + Z_encoder_decoder)

def random_decoder_block(x, encoder_output):
    # Просто несколько произвольных инициализаций
    WQs_self_attention = [
        np.random.randn(d_embedding, d_query) for _ in range(n_attention_heads)
    ]
    WKs_self_attention = [
        np.random.randn(d_embedding, d_key) for _ in range(n_attention_heads)
    ]
    WVs_self_attention = [
        np.random.randn(d_embedding, d_value) for _ in range(n_attention_heads)
    ]

    WQs_ed_attention = [
        np.random.randn(d_embedding, d_query) for _ in range(n_attention_heads)
    ]
    WKs_ed_attention = [
        np.random.randn(d_embedding, d_key) for _ in range(n_attention_heads)
    ]
    WVs_ed_attention = [
        np.random.randn(d_embedding, d_value) for _ in range(n_attention_heads)
    ]

    W1 = np.random.randn(d_embedding, d_feed_forward)
    b1 = np.random.randn(d_feed_forward)
    W2 = np.random.randn(d_feed_forward, d_embedding)
    b2 = np.random.randn(d_embedding)


    return decoder_block(
        x, encoder_output,
        WQs_self_attention, WKs_self_attention, WVs_self_attention,
        WQs_ed_attention, WKs_ed_attention, WVs_ed_attention,
        W1, b1, W2, b2,
    )
def decoder(x, decoder_embedding, n=6):
    for _ in range(n):
        x = random_decoder_block(x, decoder_embedding)
    return x

decoder(E, encoder_output)
array([[ 0.25919176,  1.49913566, -1.14331487, -0.61501256],
       [ 0.25956188,  1.49896896, -1.14336934, -0.61516151]])

Генерация выходной последовательности

У нас уже есть все необходимые части! Давайте сгенерируем выходную последовательность.

  • У нас есть кодировщик, получающий входную последовательность и генерирующий его обогащённое описание. Он состоит из стека блоков кодировщиков.

  • У нас есть декодер, получающий выходные данные кодировщика и сгенерированные токены и генерирующий выходную последовательность. Он состоит из стека блоков декодеров.

Как перейти от выходных данных декодера к слову? Нужно добавить поверх декодера последний линейный слой и слой softmax. Весь алгоритм в целом выглядит так:

  1. Обработка кодировщиком: кодировщик получает входную последовательность и генерирует контекстуализированное описание всего предложения при помощи стека блоков кодировщиков.

  2. Инициализация декодера: процесс декодирования начинается с эмбеддинга токена SOS (Start of Sequence), соединённого с выходными данными кодировщика.

  3. Работа декодера: декодер использует выходные данные кодировщика и эмбеддинги всех ранее сгенерированных токенов для создания нового списка эмбеддингов.

  4. Линейный слой для логитов: линейный слой применяется к последнему выходному эмбеддингу декодера для генерации логитов, представляющих сырые предсказания следующего токена.

  5. Softmax для вероятностей: затем эти логиты передаются через слой softmax, преобразующий их в распределение вероятностей по потенциальным следующим токенам.

  6. Итеративная генерация токенов: этот процесс повторяется, и на каждом этапе декодер генерирует следующий токен на основании кумулятивных эмбеддингов ранее сгенерированных токенов и исходных выходных данных кодировщика.

  7. Формирование предложения: эти этапы генерации продолжаются, пока не будет создан токен EOS (End of Sequence) или не достигнута заранее заданная максимальная длина предложения.

Об этом говорится в разделе 3.4 научной статьи.

1. Линейный слой

Линейный слой — это простое линейное преобразование. Он получает выходные данные декодера и преобразует их в вектор размера vocab_size. Это размер словаря. Например, если у нас есть словарь из 10000 слов, то линейный слой преобразовал бы выходные данные декодера в вектор размера 10000. Этот вектор содержал бы вероятность того, что каждое слово будет следующим словом в последовательности. Для простоты можно начать со словаря из 10 слов и предположить, что первые выходные данные декодера — это очень простой вектор: [1, 0, 1, 0]. Мы используем произвольные веса и матрицы перекосов размера vocab_size x decoder_output_size.

def linear(x, W, b):
    return np.dot(x, W) + b

x = linear([1, 0, 1, 0], np.random.randn(4, 10), np.random.randn(10))
x
array([ 0.06900542, -1.81351091, -1.3122958 , -0.33197364,  2.54767851,
       -1.55188231,  0.82907169,  0.85910931, -0.32982856, -1.26792439])

Примечание

Что используется в качестве входных данных для линейного слоя? Декодер будет выводить по одному эмбеддингу для каждого токена в последовательности. Входными данными для линейного слоя станет последний сгенерированный эмбеддинг. Последний эмбеддинг включает в себя информацию для всей последовательности до этого этапа, то есть содержит всю информацию, необходимую для генерации следующего токена. Это значит, что каждый выходной эмбеддинг декодера содержит информацию о всей последовательности до этого этапа.

2. Softmax

Они называются логитами, но интерпретировать их не так просто. Для получения вероятностей можно применить функцию softmax.

softmax(x)
array([[0.01602618, 0.06261303, 0.38162024, 0.03087794, 0.0102383 ,
        0.00446011, 0.01777314, 0.00068275, 0.46780959, 0.00789871]])

И так мы получили вероятности! Предположим, словарь имеет такой вид:

af1ce2cd67a1bfc1e3def62b9b09cc96.png

Мы видим, что вероятности таковы:

  • hello: 0.01602618

  • mundo: 0.06261303

  • world: 0.38162024

  • how: 0.03087794

  • ?: 0.0102383

  • EOS: 0.00446011

  • SOS: 0.01777314

  • a: 0.00068275

  • hola: 0.46780959

  • c: 0.00789871

Из этого видно, что наиболее вероятный следующий токен — это «hola». Если всегда выбирается наиболее вероятный токен, это называется жадным декодингом. Это не всегда наилучший подход, потому что он может привести к субоптимальным результатам, но пока мы не будем сейчас углубляться в методики генерации. Если хотите узнать о них подробнее, то прочитайте потрясающий пост.

3. Случайный трансформер из кодировщика и декодера

Давайте напишем код целиком. Зададим словарь, сопоставляющий слова с их изначальными эмбеддингами. Надо отменить, что это тоже изучается при обучении, но пока мы используем случайные значения.

vocabulary = [
    "hello",
    "mundo",
    "world",
    "how",
    "?",
    "EOS",
    "SOS",
    "a",
    "hola",
    "c",
]
embedding_reps = np.random.randn(10, 4)
vocabulary_embeddings = {
    word: embedding_reps[i] for i, word in enumerate(vocabulary)
}
vocabulary_embeddings
{'hello': array([-0.32106406,  2.09332588, -0.77994069,  0.92639774]),
 'mundo': array([-0.59563791, -0.63389256,  1.70663692, -0.99495115]),
 'world': array([ 1.35581862, -0.0323546 ,  2.76696887,  0.83069982]),
 'how': array([-0.52975474,  0.94439644,  0.80073818, -1.50135518]),
 '?': array([-0.88116833,  0.13995055,  2.01827674, -0.52554391]),
 'EOS': array([1.12207024, 1.40905796, 1.22231714, 0.02267638]),
 'SOS': array([-0.60624082, -0.67560165,  0.77152125,  0.63472247]),
 'a': array([ 1.67622229, -0.20319309, -0.18324905, -0.24258774]),
 'hola': array([ 1.07809402, -0.83846408, -0.33448976,  0.28995976]),
 'c': array([ 0.65643157,  0.24935726, -0.80839751, -1.87156293])}

А теперь напишем произвольный метод generate , авторегрессивно генерирующий токены.

def generate(input_sequence, max_iters=3):
    # Сначала мы кодируем входные данные в эмбеддинги
    # Для простоты мы пропустим этап позиционного кодирования
    embedded_inputs = [
        vocabulary_embeddings[token] for token in input_sequence
    ]
    print("Embedding representation (encoder input)", embedded_inputs)

    # Затем генерируем описание эмбеддинга
    encoder_output = encoder(embedded_inputs)
    print("Embedding generated by encoder (encoder output)", encoder_output)

    # Инициализируем выходные данные декодера эмбеддингом начального токена
    sequence_embeddings = [vocabulary_embeddings["SOS"]]
    output = "SOS"
    
    # Случайные матрицы для линейного слоя
    W_linear = np.random.randn(d_embedding, len(vocabulary))
    b_linear = np.random.randn(len(vocabulary))

    # Мы ограничиваем количество этапов декодинга, чтобы избежать слишком последовательностей без EOS
    for i in range(max_iters):
        # Этап декодера
        decoder_output = decoder(sequence_embeddings, encoder_output)

        # Используем для предсказания только последние выходные данные
        logits = linear(decoder_output[-1], W_linear, b_linear)
        # Обёртываем логиты в список, потому что softmax нужны пакеты/2D-массив
        probs = softmax([logits])

        # Получаем наиболее вероятный следующий токен
        next_token = vocabulary[np.argmax(probs)]
        sequence_embeddings.append(vocabulary_embeddings[next_token])
        output += " " + next_token

        print(
            "Iteration", i, 
            "next token", next_token,
            "with probability of", np.max(probs),
        )

        # Если следующий токен последний, то возвращаем последовательность
        if next_token == "EOS":
            return output

    return output, sequence_embeddings

Давайте запустим код!

generate(["hello", "world"])
Embedding representation (encoder input) [array([-0.32106406,  2.09332588, -0.77994069,  0.92639774]), array([ 1.35581862, -0.0323546 ,  2.76696887,  0.83069982])]
Embedding generated by encoder (encoder output) [[ 1.14747807 -1.5941759   0.36847675  0.07822107]
 [ 1.14747705 -1.59417696  0.36847441  0.07822551]]
Iteration 0 next token hola with probability of 0.4327111653266739
Iteration 1 next token mundo with probability of 0.4411354383451089
Iteration 2 next token world with probability of 0.4746898792307499
('SOS hola mundo world',
 [array([-0.60624082, -0.67560165,  0.77152125,  0.63472247]),
  array([ 1.07809402, -0.83846408, -0.33448976,  0.28995976]),
  array([-0.59563791, -0.63389256,  1.70663692, -0.99495115]),
  array([ 1.35581862, -0.0323546 ,  2.76696887,  0.83069982])])

Отлично, теперь у нас есть токены «how», «a» и «c». Это неправильный перевод, но этого вполне можно было ожидать, ведь веса мы использовали случайные.

Советую ещё раз подробно изучить всю архитектуру кодировщика-декодера из научной статьи:

Кодировщик и декодер
Кодировщик и декодер

Заключение

Надеюсь, пост показался вам интересным и информативным! Мы рассмотрели множество аспектов. Но разве это всё? На самом деле, практически да! В архитектуры новых трансформеров добавляют множество трюков, но фундамент трансформера именно таков, каким мы его описали. В зависимости от задачи также можно использовать только кодировщик или декодер. Например, в задачах, требующих понимания, например, в классификации, можно использовать стек кодировщиков с линейным слоем поверх него. Для задач, требующих генерации, например, в переводе, можно использовать стеки кодировщиков и декодеров. А для свободной генерации, например, как в ChatGPT или Mistral, можно применять только стек декодеров.

Разумеется, мы многое упростили. Давайте вкратце проверим, какие были числа в научной статье о трансформере:

  • Размерность эмбеддингов: 512 (в нашем примере 4)

  • Количество кодировщиков: 6 (в нашем примере 6)

  • Количество декодеров: 6 (в нашем примере 6)

  • Размерность прямой связи: 2048 (в нашем примере 8)

  • Количество голов внимания: 8 (в нашем примере 2)

  • Размерность внимания: 64 (в нашем примере 3)

Мы рассмотрели множество тем, но довольно интересно, то мы можем достичь впечатляющих результатов, увеличив масштабы этих вычислений и проведя умное обучение. Мы не рассмотрели в посте обучение, потому что наша цель заключалась в понимании вычислений при использовании готовой модели, но я надеюсь, что это станет надёжным фундаментом для перехода к обучению!

Также можно найти более формальный документ с вычислениями в этом PDF.

Упражнения

Вот несколько упражнений, чтобы попрактиковаться в понимании трансформера.

  1. В чём предназначение позиционного кодирования?

  2. Чем отличаются самовнимание и внимание кодировщика-декодера?

  3. Что произойдёт, если размерность внимания слишком мала? А если слишком велика?

  4. Вкратце опишите структуру слоя с прямой связью.

  5. Почему декодер медленнее кодировщика?

  6. Какова цель остаточных связей и нормализации слоёв?

  7. Как выполняется переход от выходных данных декодера к вероятностям?

  8. Почему выбор каждый раз самого вероятного следующего токена может вызвать проблемы?

Ресурсы

Источник

  • 11.11.25 19:28 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 11.11.25 19:29 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 12.11.25 04:09 [email protected]

    A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.

  • 12.11.25 04:10 [email protected]

    A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.

  • 12.11.25 05:07 peggy09

    Anthony Davies stands out in the world of crypto recovery. His skills come from years of hands-on work with blockchain tech. He helps people get back what thieves took, often against tough odds. i once lost $200000 to a fake broker site, anthony stood out as the only person who was able to get back my funds. you can contact him by sending an email to; anthonydaviestech @ gma1l com

  • 12.11.25 09:37 patricialovick86

    How To Recover Your Bitcoin Without Falling Victim To Scams: A  Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected]  You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 12.11.25 09:37 patricialovick86

    How To Recover Your Bitcoin Without Falling Victim To Scams: A  Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected]  You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 13.11.25 19:01 peggy09

    i Lost $200,000 to a phishing scam in 2022. Funds went to a mixer service. Davies traced 70% through Ethereum layers. He teamed with an exchange to freeze the rest. i got $140,000 back in six months. Hiring Davies means clear steps. You share details. He checks facts. Then, the hunt begins. Expect ups and downs, but his plan keeps it steady. you can reach out to him by sending an email to anthonydaviestech {@} gmail com

  • 13.11.25 20:05 [email protected]

    A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.

  • 13.11.25 20:05 [email protected]

    A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.

  • 13.11.25 22:51 ashley11

    Recover All Lost Cryptocurrency From Scammers

  • 13.11.25 22:52 ashley11

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  • 13.11.25 23:36 daisy

    i Lost $200,000 to a phishing scam in 2022. Funds went to a mixer service. Davies traced 70% through Ethereum layers. He teamed with an exchange to freeze the rest. i got $140,000 back in six months. Hiring Davies means clear steps. You share details. He checks facts. Then, the hunt begins. Expect ups and downs, but his plan keeps it steady. you can reach out to him by sending an email to anthonydaviestech {@} gmail com

  • 14.11.25 03:42 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 14.11.25 03:42 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 14.11.25 08:38 [email protected]

    A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.

  • 14.11.25 10:39 MATT PHILLIP

    I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.

  • 14.11.25 12:12 daisy

    i Lost $200,000 to a phishing scam in 2022. Funds went to a mixer service. Davies traced 70% through Ethereum layers. He teamed with an exchange to freeze the rest. i got $140,000 back in six months. Hiring Davies means clear steps. You share details. He checks facts. Then, the hunt begins. Expect ups and downs, but his plan keeps it steady. you can reach out to him by sending an email to anthonydaviestech {@} gmail com

  • 14.11.25 15:07 caridad

    Perth Family Saved After $400K Crypto Scam Our family in Perth, WA invested through what we thought was a trusted platform but ended up being a fraudulent investment scheme. We lost nearly AUD 420,000 worth of BTC and USDT. Luckily, a friend recommended Bitreclaim.com. Their 24/7 customer support assigned us a smart contract audit specialist who asked for wallet addresses and transaction hashes. With their forensic blockchain trace, they recovered over 5.1 BTC directly into our hardware wallet. For Perth investors: don’t give up hope. Submit a case at Bitreclaim.com immediately. Their professionalism and success rate in Australia is unmatched.

  • 14.11.25 18:33 justinekelly45

    FAST & RELIABLE CRYPTO RECOVERY SERVICES Hire iFORCE HACKER RECOVERY I was one of many victims deceived by fake cryptocurrency investment offers on Telegram. Hoping to build a retirement fund, I invested heavily and ended up losing about $470,000, including borrowed money. Just when I thought recovery was impossible, I found iForce Hacker Recovery. Their team of crypto recovery experts worked tirelessly and helped me recover my assets within 72 hours, even tracing the scammers involved. I’m deeply thankful for their professionalism and highly recommend their services to anyone facing a similar situation.  Website: ht tps://iforcehackers. co m WhatsApp: +1 240-803-3706   Email: iforcehk @ consultant. c om

  • 14.11.25 20:56 juliamarvin

    Firstly, the importance of verifying the authenticity of online communications, especially those about financial matters. Secondly, the potential for recovery exists even in cases where it seems hopeless, thanks to innovative services like TechY Force Cyber Retrieval. Lastly, the cryptocurrency community needs to be more aware of these risks and the available solutions to combat them. My experience serves as a warning to others to be cautious of online impersonators and never to underestimate the potential for recovery in the face of theft. It also highlights the critical role that professional retrieval services can play in securing your digital assets. In conclusion, while the cryptocurrency space offers unparalleled opportunities, it also presents unique challenges, and being informed and vigilant is key to navigating this landscape safely. W.h.a.t.s.A.p.p.. +.15.6.1.7.2.6.3.6.9.7. M.a.i.l T.e.c.h.y.f.o.r.c.e.c.y.b.e.r.r.e.t.r.i.e.v.a.l.@.c.o.n.s.u.l.t.a.n.t.c.o.m. T.e.l.e.g.r.a.m +.15.6.1.7.2.6.3.6.9.7

  • 15.11.25 12:47 MATT PHILLIP

    I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.

  • 15.11.25 14:39 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.11.25 14:39 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.11.25 15:31 MATT PHILLIP

    I never imagined I’d fall for a crypto romance scam but it happened. Over the course of a few months, I sent nearly $184,000 worth of Bitcoin to someone I genuinely believed I was building a future with. When they disappeared without a trace, I was left heartbroken, humiliated, and financially devastated. For a long time, I didn’t tell anyone. I felt ashamed. But eventually, while searching for answers, I came across a Reddit thread that mentioned Agent Jasmine Lopez a crypto recovery agent. I reached out, not expecting much. To my surprise, she treated me with kindness, not judgment. She used advanced tools like blockchain forensics, IP tracing, and smart contract analysis and with persistence and legal support, she was able to recover nearly 85% of what I lost. I know not everyone gets that kind of outcome, but thanks to [email protected] WhatsApp at +44 736-644-5035, I’ve started to reclaim not just my assets, but my confidence and peace of mind. If you’re going through something similar, you’re not alone and there is hope.

  • 15.11.25 15:52 [email protected]

    A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.

  • 16.11.25 14:43 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 16.11.25 14:44 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 16.11.25 20:38 [email protected]

    A scam cost me $72,000 in USDT. It shook me up. USDT is a stablecoin linked to the dollar. Its value stays even. I believed I found a safe path to build my wealth. At the start, all seemed fine. My account grew to $120,000 in profits. But when I tried to withdraw, the site locked me out. No way to get in. No money left. Fear took over. I felt stuck and alone. These frauds hit crypto investors often. They lure with fast riches. Then they steal your cash and disappear. Billions vanish each year from such schemes. I looked for aid in every spot. Online boards. Help chats. None helped. Then a buddy offered support. He had dealt with the same issue once. He mentioned Sylvester Bryant. My friend praised his expertise. I contacted him at once. His email is [email protected]. Sylvester Bryant changed everything. He heard my tale with no blame. His crew jumped in quickly. They checked all scam details first. One by one, they followed my lost USDT trail. They used software to track the blockchain. That is the open log of coin transfers. It reveals fund paths. Scammers try to cover their steps. Bryant's team went far. They reached out to related platforms and services. Each day brought progress. No easy ways. They shared updates with me always. Each message and talk stayed open and true. Finally, they got back every dollar. My $52,000 returned whole. The effort needed drive and resolve. Bryant's fairness shone through. He added no secret costs. Only fair pay for the job. My worry faded. I relaxed once more. Nights grew calm. My faith in recovery grew strong. If fraud stole your funds, move fast. Contact Sylvester Bryant. He treats such cases with skill. Email at [email protected]. Or use WhatsApp at +1 512 577 7957 or +44 7428 662701. Do not delay. Reclaim what is yours.

  • 17.11.25 03:24 johnny231

    INFO@THEBARRYCYBERINVESTIGATIONSDOTCOM is one of the best cyber hackers that i have actually met and had an encounter with, i was suspecting my partner was cheating on me for some time now but i was not sure of my assumptions so i had to contact BARRY CYBER INVESTIGATIONS to help me out with my suspicion. During the cause of their investigation they intercepted his text messages, social media(facebook, twittwer, snapchat whatsapp, instagram),also call logs as well as pictures and videos(deleted files also) they found out my spouse was cheating on me for over 3 years and was already even sending nudes out as well as money to anonymous wallets,so i deciced to file for a divorce and then when i did that i came to the understanding that most of the cryptocurrency we had invested in forex by him was already gone. BARRY CYBER INVESTIGATIONS helped me out through out the cause of my divorce with my spouse they also helped me in retrieving some of the cryptocurrency back, as if that was not enough i decided to introduce them to another of my friend who had lost her most of her savings on a bad crytpo investment and as a result of that it affected her credit score, BARRY CYBER INVESTIGATIONS helped her recover some of the funds back and helped her build her credit score, i have never seen anything like this in my life and to top it off they are very professional and they have intergrity to it you can contact them also on their whatsapp +1814-488-3301. for any hacking or pi jobs you can contact them and i assure you nothing but the best out of the job

  • 17.11.25 11:26 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 17.11.25 11:27 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 19.11.25 01:56 VERONICAFREDDIE809

    Earlier this year, I made a mistake that changed everything. I downloaded what I thought was a legitimate trading app I’d found through a Telegram channel. At first, everything looked real until I tried to withdraw. My entire investment vanished into a bot account, and that’s when the truth hit me: I had been scammed. I can’t describe the feeling. It was as if the ground dropped out from under me. I blamed myself. I felt stupid, ashamed, helpless every painful emotion at once. For a while, I couldn’t even talk about it. I thought no one would understand. But then I got connected to the best female expert AGENT Jasmine Lopez,,( [email protected] ) ,She didn’t brush me off or judge me. She took my fear seriously. She followed leads I didn’t even know existed, and identified multiple off-chain indicators and wallet clusters linked to the scammer network, she helped me understand what had truly happened behind the scenes. For the first time since everything fell apart, I felt hope. Hearing that other people students, parents, hardworking people had been targeted the same way made me realize I wasn’t alone. What happened to us wasn’t stupidity. It was a coordinated attack. We were prey in a system built to deceive. And somehow, through all the chaos, Agent Jasmine stepped in and shined a light into the darkest moment of my life. I’m still healing from the experience. It changed me. But it also reminded me that even when you think you’re at the end, sometimes a lifeline appears where you least expect it. Contact her at [email protected] WhatsApp at +44 736-644-5035.

  • 19.11.25 08:11 JuneWatkins

    I’m June Watkins from California. I never thought I’d lose my life savings in Bitcoin. One wrong click, a fake wallet update, and $187,000 vanished in seconds. I cried for days, felt stupid, ashamed, and completely hopeless. But God wouldn’t let me stay silent or defeated. A friend sent me a simple message: “Contact Mbcoin Recovery Group, they specialize in this.” I was skeptical (there are so many scammers), but something in my spirit said “try.” I reached out to Mbcoin Recovery Group through their official site and within minutes their team responded with kindness and clarity. They walked with me step by step, and stayed in constant contact. Three days later, I watched in tears as every single Bitcoin returned to my wallet, 100% recovered. God turned my mess into a message and my shame into a testimony! If you’ve lost crypto and feel it’s gone forever, don’t give up. I’m living proof that recovery is possible. Thank you, Mbcoin Recovery Group, and thank You, Jesus, for never leaving me stranded. contact: (https://mbcoinrecoverygrou.wixsite.com/mb-coin-recovery) (Email: [email protected]) (Call Number: +1 346 954-1564)

  • 19.11.25 08:26 elizabethmadison

    My name is Elizabeth Madison currently living in New York. There was a time I felt completely broken. I had trusted a fraudulent bitcoin investment organization, who turned out to be a fraudster. I sent money, believing their sweet words and promises on the interest rate I will get back in return, only to realize later that I’ve been scammed. On the day of withdrawal there was no money in my account. The pain hit deep. I couldn’t sleep, I kept asking myself how I could have been so careless, meanwhile my mom was battling with a stroke and the expenses were too much. For days, I cried and blamed myself. The betrayal, the disappointment and my mom's health issues all of this stress made me want to give up on life. But one day, I decided that sitting in pain wouldn’t solve anything. I picked myself up and chose to fight for what I lost then I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how he helped people recover their funds from online fraud. I emailed all the transactions and paperwork I had with the fraudulent organization and they helped me recover all my lost money in just five days. If you have ever fallen victim to scammers, contact GREAT WHIP RECOVERY CYBER SERVICES to help you recover every penny you have lost. (Text +1(406)2729101) (Email [email protected])

  • 19.11.25 08:27 elizabethmadison

    My name is Elizabeth Madison currently living in New York. There was a time I felt completely broken. I had trusted a fraudulent bitcoin investment organization, who turned out to be a fraudster. I sent money, believing their sweet words and promises on the interest rate I will get back in return, only to realize later that I’ve been scammed. On the day of withdrawal there was no money in my account. The pain hit deep. I couldn’t sleep, I kept asking myself how I could have been so careless, meanwhile my mom was battling with a stroke and the expenses were too much. For days, I cried and blamed myself. The betrayal, the disappointment and my mom's health issues all of this stress made me want to give up on life. But one day, I decided that sitting in pain wouldn’t solve anything. I picked myself up and chose to fight for what I lost then I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how he helped people recover their funds from online fraud. I emailed all the transactions and paperwork I had with the fraudulent organization and they helped me recover all my lost money in just five days. If you have ever fallen victim to scammers, contact GREAT WHIP RECOVERY CYBER SERVICES to help you recover every penny you have lost. (Text +1(406)2729101) Website https://greatwhiprecoveryc.wixsite.com/greatwhip-site (Email [email protected])

  • 19.11.25 16:30 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 19.11.25 16:30 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 20.11.25 15:55 mariotuttle94

    HIRE THE BEST HACKER ONLINE FOR CRYPTO BITCOIN SCAM RECOVERY / iFORCE HACKER RECOVERY After a security breach, my husband lost $133,000 in Bitcoin. We sought help from a professional cybersecurity team iForce Hacker Recovery they guided us through each step of the recovery process. Their expertise allowed them to trace the compromised funds and help us understand how the breach occurred. The experience brought us clarity, restored a sense of stability, and reminded us of the importance of strong digital asset and security practices.  Website: ht tps:/ /iforcehackers. c om WhatsApp: +1 240-803-3706 Email: iforcehk @ consultant. c om

  • 21.11.25 10:56 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 21.11.25 10:56 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 22.11.25 04:41 VERONICAFREDDIE809

    Earlier this year, I made a mistake that changed everything. I downloaded what I thought was a legitimate trading app I’d found through a Telegram channel. At first, everything looked real until I tried to withdraw. My entire investment vanished into a bot account, and that’s when the truth hit me: I had been scammed. I can’t describe the feeling. It was as if the ground dropped out from under me. I blamed myself. I felt stupid, ashamed, helpless every painful emotion at once. For a while, I couldn’t even talk about it. I thought no one would understand. But then I got connected to the best female expert AGENT Jasmine Lopez,,( [email protected] ) ,She didn’t brush me off or judge me. She took my fear seriously. She followed leads I didn’t even know existed, and identified multiple off-chain indicators and wallet clusters linked to the scammer network, she helped me understand what had truly happened behind the scenes. For the first time since everything fell apart, I felt hope. Hearing that other people students, parents, hardworking people had been targeted the same way made me realize I wasn’t alone. What happened to us wasn’t stupidity. It was a coordinated attack. We were prey in a system built to deceive. And somehow, through all the chaos, Agent Jasmine stepped in and shined a light into the darkest moment of my life. I’m still healing from the experience. It changed me. But it also reminded me that even when you think you’re at the end, sometimes a lifeline appears where you least expect it. Contact her at [email protected] WhatsApp at +44 736-644-5035.

  • 22.11.25 22:04 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 22.11.25 22:04 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 22.11.25 22:05 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 23.11.25 03:34 Matt Kegan

    SolidBlock Forensics are absolutely the best Crypto forensics team, they're swift to action and accurate

  • 23.11.25 09:54 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 23.11.25 18:01 mosbygerry

    I recently had the opportunity to work with a skilled programmer who specialized in recovering crypto assets, and the results were nothing short of impressive. The experience not only helped me regain control of my investments but also provided valuable insight into the intricacies of cryptocurrency technology and cybersecurity. The journey began when I attempted to withdraw $183,000 from an investment firm, only to encounter a series of challenges that made it impossible for me to access my funds. Despite seeking assistance from individuals claiming to be Bitcoin miners, I was unable to recover my investments. The situation was further complicated by the fact that all my deposits were made using various cryptocurrencies that are difficult to trace. However, I persisted in my pursuit of recovery, driven by the determination to reclaim my losses. It was during this time that I discovered TechY Force Cyber Retrieval, a team of experts with a proven track record of successfully recovering crypto assets. With their assistance, I was finally able to recover my investments, and in doing so, gained a deeper understanding of the complex mechanisms that underpin cryptocurrency transactions. The experience taught me that with the right expertise and guidance, even the most seemingly insurmountable challenges can be overcome. I feel a sense of obligation to share my positive experience with others who may have fallen victim to cryptocurrency scams or are struggling to recover their investments. If you find yourself in a similar situation, I highly recommend seeking the assistance of a trustworthy and skilled programmer, such as those at TechY Force Cyber Retrieval. WhatsApp (+1561726 3697) or (+1561726 3697). Their expertise and dedication to helping individuals recover their crypto assets are truly commendable, and I have no hesitation in endorsing their services to anyone in need. By sharing my story, I hope to provide a beacon of hope for those who may have lost faith in their ability to recover their investments and to emphasize the importance of seeking professional help when navigating the complex world of cryptocurrency.

  • 24.11.25 11:43 michaeldavenport238

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.11.25 11:43 michaeldavenport238

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.11.25 16:34 Mundo

    I wired 120k in crypto to the wrong wallet. One dumb slip-up, and poof gone. That hit me hard. Lost everything I had built up. Crypto moves on the blockchain. It's like a public record book. Once you send, that's it. No take-backs. Banks can fix wire mistakes. Not here. Transfers stick forever. a buddy tipped me off right away. Meet Sylvester Bryant. Guy's a pro at pulling back lost crypto. Handles cases others can't touch, he spots scammer moves cold. Follows money down secret paths. Mixers. Fake trades. Hidden swaps. You name it, he tracks it. this happens to tons of folks. Fat-finger a key. Miss one digit in the address. Boom. Billions vanish like that each year. I panicked. Figured my stash was toast for good. Bryant flipped the script. He jumps on hard jobs quick. Digs deep. Cracks the trail. Got my funds back safe. You're in the same boat? Don't sit there. Hit him up today. Email [email protected]. WhatsApp +1 512 577 7957. Or +44 7428 662701. Time's your enemy here. Scammers spend fast. Chains churn non-stop. Move now. Grab your cash back home.

  • 25.11.25 05:15 michaeldavenport218

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 25.11.25 13:31 mickaelroques52

    CRYPTO TRACING AND INVESTIGATION EXPERT: HOW TO RECOVER STOLEN CRYPTO_HIRE RAPID DIGITAL RECOVERY

  • 25.11.25 13:31 mickaelroques52

    I’ve always considered myself a careful person when it comes to money, but even the most cautious people can be fooled. A few months ago, I invested some of my Bitcoin into what I believed was a legitimate platform. Everything seemed right, professional website, live chat support and even convincing testimonials. I thought I had done my homework. But when I tried to withdraw my funds, everything fell apart. My account was blocked, the so-called support team disappeared and I realized I had been scammed. The shock was overwhelming. I couldn’t believe I had fallen for it. That Bitcoin represented years of savings and sacrifices and it felt like everything had been stolen from me in seconds. I didn’t sleep for days and I was angry at myself for trusting the wrong people. In my desperation, I started searching for solutions and came across Rapid Digital Recovery. At first, I thought it was just another promise that would lead nowhere. But after speaking with them, I realized this was different. They were professional, clear and understanding. They explained exactly how they track stolen funds through blockchain forensics and what steps would be taken in my case. I gave them all the transaction details and they immediately got to work. What impressed me most was their transparency, they gave me updates regularly and kept me involved in the process. After weeks of investigation, they achieved what I thought was impossible: they recovered my stolen Bitcoin and safely returned it to my wallet. The relief I felt that day is indescribable. I went from feeling hopeless and broken to feeling like I had been given a second chance. I am forever grateful to Rapid Digital Recovery. They didn’t just recover my money, they restored my peace of mind. If you’re reading this because you’ve been scammed, please know you’re not alone and that recovery is possible. I’m living proof that with the right help, you can get your funds back... Contact Info Below WhatSapp:  + 1 414 807 1485 Email:  rapiddigitalrecovery (@) execs. com Telegram:  + 1 680 5881 631

  • 26.11.25 18:18 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 26.11.25 18:20 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 26.11.25 19:13 James Robert

    I am James Robert from Chicago. Few months ago, I fell victim to an online Bitcoin investment scheme that promised high returns within a short period. At first, everything seemed legitimate, their website looked professional, and the people behind it were very convincing. I invested a significant amount of money about $440,000 with the way they talk to me into investing on their bitcoin platform. Two months later I realized that it was a scam when I could no longer have  access to  my account and couldn’t withdraw my money. At first, I lost hope that I wouldn't be able to get my money back, I cried and was angry at how I even fell victim to a scam. For days after doing some research and seeking professional help online, I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how they have helped people recover their money back from scammers. I reported the case immediately to them and gather every transaction detail, documentation and sent it to them. Today, I’m very happy because the GREAT WHIP RECOVERY CYBER SERVICES help me recover all my money I was scammed. You can contact GREAT WHIP RECOVERY CYBER SERVICES if you have ever fallen victim to scam. Email: [email protected] or Website https://greatwhiprecoveryc.wixsite.com/greatwhip-site

  • 26.11.25 19:13 James Robert

    I am James Robert from Chicago. Few months ago, I fell victim to an online Bitcoin investment scheme that promised high returns within a short period. At first, everything seemed legitimate, their website looked professional, and the people behind it were very convincing. I invested a significant amount of money about $440,000 with the way they talk to me into investing on their bitcoin platform. Two months later I realized that it was a scam when I could no longer have  access to  my account and couldn’t withdraw my money. At first, I lost hope that I wouldn't be able to get my money back, I cried and was angry at how I even fell victim to a scam. For days after doing some research and seeking professional help online, I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how they have helped people recover their money back from scammers. I reported the case immediately to them and gather every transaction detail, documentation and sent it to them. Today, I’m very happy because the GREAT WHIP RECOVERY CYBER SERVICES help me recover all my money I was scammed. You can contact GREAT WHIP RECOVERY CYBER SERVICES if you have ever fallen victim to scam. Email: [email protected] or Website https://greatwhiprecoveryc.wixsite.com/greatwhip-site

  • 26.11.25 19:13 James Robert

    I am James Robert from Chicago. Few months ago, I fell victim to an online Bitcoin investment scheme that promised high returns within a short period. At first, everything seemed legitimate, their website looked professional, and the people behind it were very convincing. I invested a significant amount of money about $440,000 with the way they talk to me into investing on their bitcoin platform. Two months later I realized that it was a scam when I could no longer have  access to  my account and couldn’t withdraw my money. At first, I lost hope that I wouldn't be able to get my money back, I cried and was angry at how I even fell victim to a scam. For days after doing some research and seeking professional help online, I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how they have helped people recover their money back from scammers. I reported the case immediately to them and gather every transaction detail, documentation and sent it to them. Today, I’m very happy because the GREAT WHIP RECOVERY CYBER SERVICES help me recover all my money I was scammed. You can contact GREAT WHIP RECOVERY CYBER SERVICES if you have ever fallen victim to scam. Email: [email protected] or Website https://greatwhiprecoveryc.wixsite.com/greatwhip-site

  • 27.11.25 10:56 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 27.11.25 10:56 harristhomas7376

    "In the crypto world, this is great news I want to share. Last year, I fell victim to a scam disguised as a safe investment option. I have invested in crypto trading platforms for about 10yrs thinking I was ensuring myself a retirement income, only to find that all my assets were either frozen, I believed my assets were secure — until I discovered that my BTC funds had been frozen and withdrawals were impossible. It was a devastating moment when I realized I had been scammed, and I thought my Bitcoin was gone forever, Everything changed when a close friend recommended the Capital Crypto Recover Service. Their professionalism, expertise, and dedication enabled me to recover my lost Bitcoin funds back — more than €560.000 DEM to my BTC wallet. What once felt impossible became a reality thanks to their support. If you have lost Bitcoin through scams, hacking, failed withdrawals, or similar challenges, don’t lose hope. I strongly recommend Capital Crypto Recover Service to anyone seeking a reliable and effective solution for recovering any wallet assets. They have a proven track record of successful reputation in recovering lost password assets for their clients and can help you navigate the process of recovering your funds. Don’t let scammers get away with your hard-earned money – contact Email: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Contact: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 27.11.25 20:04 deborah113

    Scammed Crypto Asset Recovery Solution Hire iFORCE HACKER RECOVERY When I traded online, I lost both my investment money and the anticipated gains.  Before permitting any withdrawals, the site kept requesting more money, and soon I recognized I had been duped.  It was really hard to deal with the loss after their customer service ceased responding.  I saw a Facebook testimonial about how iForce Hacker Recovery assisted a victim of fraud in getting back the bitcoin she had transferred to con artists.  I contacted iForce Hacker Recovery, submitted all relevant case paperwork, and meticulously followed the guidelines.  I'm relieved that I was eventually able to get my money back, including the gains that were initially displayed on my account. I'm sharing my story to let others who have been conned know that you can recover your money. WhatsApp: +1 240-803-3706 Email: iforcehk @ consultant. c om Website: ht tps:/ /iforcehackers. c om

  • 27.11.25 23:48 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 27.11.25 23:48 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 28.11.25 00:08 VERONICAFREDDIE809

    Earlier this year, I made a mistake that changed everything. I downloaded what I thought was a legitimate trading app I’d found through a Telegram channel. At first, everything looked real until I tried to withdraw. My entire investment vanished into a bot account, and that’s when the truth hit me: I had been scammed. I can’t describe the feeling. It was as if the ground dropped out from under me. I blamed myself. I felt stupid, ashamed, helpless every painful emotion at once. For a while, I couldn’t even talk about it. I thought no one would understand. But then I found someone Agent Jasmine Lopez ([email protected])WhatsApp at +44 736-644-5035. ,She didn’t brush me off or judge me. She took my fear seriously. She followed leads I didn’t even know existed, and identified multiple off-chain indicators and wallet clusters linked to the scammer network, she helped me understand what had truly happened behind the scenes. For the first time since everything fell apart, I felt hope. Hearing that other people students, parents, hardworking people had been targeted the same way made me realize I wasn’t alone. What happened to us wasn’t stupidity. It was a coordinated attack. We were prey in a system built to deceive. And somehow, through all the chaos, Agent Jasmine stepped in and shined a light into the darkest moment of my life. I’m still healing from the experience. It changed me. But it also reminded me that even when you think you’re at the end, sometimes a lifeline appears where you least expect it.

  • 28.11.25 11:15 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 28.11.25 11:15 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 28.11.25 11:43 elizabethmadison

    My name is Elizabeth Madison currently living in New York. There was a time I felt completely broken. I had trusted a fraudulent bitcoin investment organization, who turned out to be a fraudster. I sent money, believing their sweet words and promises on the interest rate I will get back in return, only to realize later that I’ve been scammed. On the day of withdrawal there was no money in my account. The pain hit deep. I couldn’t sleep, I kept asking myself how I could have been so careless, meanwhile my mom was battling with a stroke and the expenses were too much. For days, I cried and blamed myself. The betrayal, the disappointment and my mom's health issues all of this stress made me want to give up on life. But one day, I decided that sitting in pain wouldn’t solve anything. I picked myself up and chose to fight for what I lost then I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how he helped people recover their funds from online fraud. I emailed all the transactions and paperwork I had with the fraudulent organization and they helped me recover all my lost money in just five days. If you have ever fallen victim to scammers, contact GREAT WHIP RECOVERY CYBER SERVICES to help you recover every penny you have lost. (Text +1(406)2729101) Website https://greatwhiprecoveryc.wixsite.com/greatwhip-site (Email [email protected])

  • 28.11.25 11:43 elizabethmadison

    My name is Elizabeth Madison currently living in New York. There was a time I felt completely broken. I had trusted a fraudulent bitcoin investment organization, who turned out to be a fraudster. I sent money, believing their sweet words and promises on the interest rate I will get back in return, only to realize later that I’ve been scammed. On the day of withdrawal there was no money in my account. The pain hit deep. I couldn’t sleep, I kept asking myself how I could have been so careless, meanwhile my mom was battling with a stroke and the expenses were too much. For days, I cried and blamed myself. The betrayal, the disappointment and my mom's health issues all of this stress made me want to give up on life. But one day, I decided that sitting in pain wouldn’t solve anything. I picked myself up and chose to fight for what I lost then I came across GREAT WHIP RECOVERY CYBER SERVICES and saw how he helped people recover their funds from online fraud. I emailed all the transactions and paperwork I had with the fraudulent organization and they helped me recover all my lost money in just five days. If you have ever fallen victim to scammers, contact GREAT WHIP RECOVERY CYBER SERVICES to help you recover every penny you have lost. (Text +1(406)2729101) Website https://greatwhiprecoveryc.wixsite.com/greatwhip-site (Email [email protected])

  • 29.11.25 12:35 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 29.11.25 12:35 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 29.11.25 12:35 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 30.11.25 20:37 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: 📧 Email: [email protected] 📱 Telegram: @Capitalcryptorecover Contact: [email protected] 📞 Call/Text: +1 (336) 390-6684 🌐 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 01.12.25 12:27 Thomas Muller

    YOU CAN REACH OUT TO GREAT WHIP RECOVERY CYBER SERVICES FOR HELP TO RECOVER YOUR STOLEN BTC OR ETH BACK WHATSAPP +1(208)713-0697 I once fell victim to online investment scheme that cost me a devastating €254,000. I’m Thomas Muller from Berlin, Germany. The person I trusted turned out to be a fraud, and the moment I realized I’d been deceived, my entire world stopped. I immediately began searching for legitimate ways to recover my funds and hold the scammer accountable. During my search, I came across several testimonies of how Great Whip Recovery Cyber Services helped some people recover money they lost to cyber fraud, I contacted Great Whip Recovery Cyber Service team and provided all the evidence I had. Within about 36 hours, the experts traced the digital trail left by the fraudster, the individual was eventually tracked down and I recovered all my money back. You can contact them with,  website https://greatwhiprecoveryc.wixsite.com/greatwhip-site  text +1(406)2729101 email [email protected]

  • 01.12.25 12:27 Thomas Muller

    YOU CAN REACH OUT TO GREAT WHIP RECOVERY CYBER SERVICES FOR HELP TO RECOVER YOUR STOLEN BTC OR ETH BACK WHATSAPP +1(208)713-0697 I once fell victim to online investment scheme that cost me a devastating €254,000. I’m Thomas Muller from Berlin, Germany. The person I trusted turned out to be a fraud, and the moment I realized I’d been deceived, my entire world stopped. I immediately began searching for legitimate ways to recover my funds and hold the scammer accountable. During my search, I came across several testimonies of how Great Whip Recovery Cyber Services helped some people recover money they lost to cyber fraud, I contacted Great Whip Recovery Cyber Service team and provided all the evidence I had. Within about 36 hours, the experts traced the digital trail left by the fraudster, the individual was eventually tracked down and I recovered all my money back. You can contact them with,  website https://greatwhiprecoveryc.wixsite.com/greatwhip-site  text +1(406)2729101 email [email protected]

  • 01.12.25 23:45 michaeldavenport238

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 01.12.25 23:45 michaeldavenport238

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 02.12.25 02:21 donald121

    In 2025 alone, hackers stole over $1.5 billion in digital assets from users worldwide. That's a wake-up call for anyone holding crypto. Theft hits hard because once funds move, they're tough to get back. Common ways it happens include phishing emails that trick you into giving up keys, big exchange breaches, or malware sneaking into your wallet. Marie guide walks you through steps to recover stolen cryptocurrency. You'll learn quick actions to stop more loss, how to trace funds, and ways to fight back legally. Plus, tips to avoid this mess next time. reach her (infocyberrecoveryinc@gmail com and whatsapp:+1 7127594675)

  • 02.12.25 15:05 Matt Kegan

    Reach out to SolidBlock Forensics if you want to get back your coins from fake crypto investment or your wallet was compromised and all your coins gone. SolidBlock Forensics provide deep ethical analysis and investigation that enables them to trace these schemes, and recover all your funds. Their services are professional and reliable. 

  • 03.12.25 09:22 tyrelldavis1

    I still recall the day I fell victim to an online scam, losing a substantial amount of money to a cunning fraudster. The feeling of helplessness and despair that followed was overwhelming, and I thought I had lost all hope of ever recovering my stolen funds. However, after months of searching for a solution, I stumbled upon a beacon of hope - GRAYWARE TECH SERVICE, a highly reputable and exceptionally skilled investigative and recovery firm. Their team of expert cybersecurity professionals specializes in tracking and retrieving money lost to internet fraud, and I was impressed by their unwavering dedication to helping victims like me. With their extensive knowledge and cutting-edge technology, they were able to navigate the complex world of online finance and identify the culprits behind my loss. What struck me most about GRAYWARE TECH SERVICE was their unparalleled expertise and exceptional customer service. They took the time to understand my situation, provided me with regular updates, and kept me informed throughout the entire recovery process. Their transparency and professionalism were truly reassuring, and I felt confident that I had finally found a reliable partner to help me recover my stolen money. Thanks to GRAYWARE TECH SERVICE, I was able to recover a significant portion of my lost funds, and I am forever grateful for their assistance. Their success in retrieving my money not only restored my financial stability but also restored my faith in the ability of authorities to combat online fraud. If you have fallen victim to internet scams, I highly recommend reaching out to GRAYWARE TECH SERVICE - their expertise and dedication to recovering stolen funds are unparalleled, and they may be your only hope for retrieving what is rightfully yours. You can reach them on whatsapp+18582759508 web at ( https://graywaretechservice.com/ )    also on Mail: ([email protected]

  • 03.12.25 21:01 VERONICAFREDDIE809

    Earlier this year, I made a mistake that changed everything. I downloaded what I thought was a legitimate trading app I’d found through a Telegram channel. At first, everything looked real until I tried to withdraw. My entire investment vanished into a bot account, and that’s when the truth hit me: I had been scammed. I can’t describe the feeling. It was as if the ground dropped out from under me. I blamed myself. I felt stupid, ashamed, helpless every painful emotion at once. For a while, I couldn’t even talk about it. I thought no one would understand. But then I found someone Agent Jasmine Lopez ([email protected]) ,She didn’t brush me off or judge me. She took my fear seriously. She followed leads I didn’t even know existed, and identified multiple off-chain indicators and wallet clusters linked to the scammer network, she helped me understand what had truly happened behind the scenes. For the first time since everything fell apart, I felt hope. Hearing that other people students, parents, hardworking people had been targeted the same way made me realize I wasn’t alone. What happened to us wasn’t stupidity. It was a coordinated attack. We were prey in a system built to deceive. And somehow, through all the chaos, Agent Jasmine stepped in and shined a light into the darkest moment of my life. I’m still healing from the experience. It changed me. But it also reminded me that even when you think you’re at the end, sometimes a lifeline appears where you least expect it. Contact her at [email protected] WhatsApp at +44 736-644-5035.

  • 03.12.25 22:17 Tonerdomark

    I lost $300,000 in USDC to a phishing scam. Scammers tricked me with a fake wallet link. They drained my account fast. I felt hopeless. No way to get it back. Then Sylvester stepped in. His skills traced the funds. He recovered every bit. USDC is a stablecoin tied to the dollar. Phishing scams hit hard in crypto. They fool you with urgent emails or sites. Billions vanish each year this way. Sylvester knows blockchain tracks. He used tools to follow the trail. I got my money back in weeks. Skills like his turn loss to win. Don't wait if scammed. Contact Mr. Sylvester now. Email: yt7cracker@gmail. com. WhatsApp only: + 1 512 577 7957 or + 44 7428 662701. He helped me. He can help you.

  • 04.12.25 01:37 michaeldavenport238

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 04.12.25 01:37 michaeldavenport238

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 04.12.25 04:35 Tonerdomark

    I lost $300,000 in USDC to a phishing scam. Scammers tricked me with a fake wallet link. They drained my account fast. I felt hopeless. No way to get it back. Then Sylvester stepped in. His skills traced the funds. He recovered every bit. USDC is a stablecoin tied to the dollar. Phishing scams hit hard in crypto. They fool you with urgent emails or sites. Billions vanish each year this way. Sylvester knows blockchain tracks. He used tools to follow the trail. I got my money back in weeks. Skills like his turn loss to win. Don't wait if scammed. Contact Mr. Sylvester now. Email: [email protected]. WhatsApp only: + 1 512 577 7957 or + 44 7428 662701. He helped me. He can help you.

  • 04.12.25 10:32 Tonerdomark

    I lost $300,000 in USDC to a phishing scam. Scammers tricked me with a fake wallet link. They drained my account fast. I felt hopeless. No way to get it back. Then Sylvester stepped in. His skills traced the funds. He recovered every bit. USDC is a stablecoin tied to the dollar. Phishing scams hit hard in crypto. They fool you with urgent emails or sites. Billions vanish each year this way. Sylvester knows blockchain tracks. He used tools to follow the trail. I got my money back in weeks. Skills like his turn loss to win. Don't wait if scammed. Contact Mr. Sylvester now. Email: [email protected]. WhatsApp only: + 1 512 577 7957 or + 44 7428 662701. He helped me. He can help you.

  • 04.12.25 18:25 smithhazael

    Hire Proficient Expert Consultant For any form of lost crypto "A man in Indonesia tragically took his own life after losing his family's savings to a scam. The shame and blame were too much to bear. It's heartbreaking to think he might still be alive if he knew help existed. "PROFICIENT EXPERT CONSULTANTS, I worked alongside PROFICIENT EXPERT CONSULTANTS when I lost my funds to an investment platform on Telegram. PROFICIENT EXPERT CONSULTANTS did a praiseworthy job, tracked and successfully recovered all my lost funds a total of $770,000 within 48hours after contacting them, with their verse experience in recovery issues and top tier skills they were able to transfer back all my funds into my account, to top it up I had full access to my account and immediately converted it to cash, they handled my case with professionalism and empathy and successfully recovered all my lost funds, with so many good reviews about PROFICIENT EXPERT CONSULTANTS, I’m glad I followed my instincts after reading all the reviews and I was able to recovery everything I thought I had lost, don’t commit suicide if in any case you are caught in the same situation, contact: Proficientexpert@consultant. com Telegram: @ PROFICIENTEXPERT, the reliable experts in recovery.

  • 04.12.25 21:45 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 04.12.25 21:45 elizabethrush89

    God bless Capital Crypto Recover Services for the marvelous work you did in my life, I have learned the hard way that even the most sensible investors can fall victim to scams. When my USD was stolen, for anyone who has fallen victim to one of the bitcoin binary investment scams that are currently ongoing, I felt betrayal and upset. But then I was reading a post on site when I saw a testimony of Wendy Taylor online who recommended that Capital Crypto Recovery has helped her recover scammed funds within 24 hours. after reaching out to this cyber security firm that was able to help me recover my stolen digital assets and bitcoin. I’m genuinely blown away by their amazing service and professionalism. I never imagined I’d be able to get my money back until I complained to Capital Crypto Recovery Services about my difficulties and gave all of the necessary paperwork. I was astounded that it took them 12 hours to reclaim my stolen money back. Without a doubt, my USDT assets were successfully recovered from the scam platform, Thank you so much Sir, I strongly recommend Capital Crypto Recover for any of your bitcoin recovery, digital funds recovery, hacking, and cybersecurity concerns. You reach them Call/Text Number +1 (336)390-6684 His Email: [email protected] Contact Telegram: @Capitalcryptorecover Via Contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 05.12.25 08:35 into11

    The digital world of cryptocurrency offers big chances, but it also hides tricky scams. Losing your crypto to fraud feels awful. It can leave you feeling lost and violated. This guide tells you what to do right away if a crypto scam has hit you. These steps can help you get funds back or stop more trouble. Knowing what to do fast can change everything,reach marie ([email protected] and whatsapp:+1 7127594675)

  • 05.12.25 08:48 Tonerdomark

    SYLVESTER BRYANT WAS A PROFESSIONAL/ RELIABLE HACKER AND HIGHLY RECOMMENDED I’m very excited to speak about him as a Bitcoin Recovery agent, this cyber security company was able to assist me in recovering my stolen funds in cryptocurrency. I’m truly amazed by their excellent service and professional work. I never thought I could get back my funds until I approached them with my problems and provided all the necessary information. It took them time to recover my funds and I was amazed. Without any doubt, I highly recommend Sylvester for your BITCOIN, USDC, USDT, ETH Recovery, for all Cryptocurrency recovery, digital funds recovery, hacking Related issues, contact Sylvester Bryant professional services waapp only= +1 512 577 7957 or + 44 7428 662701 EMAIL = [email protected]

  • 06.12.25 01:44 Tonerdomark

    SYLVESTER BRYANT WAS A PROFESSIONAL/ RELIABLE HACKER AND HIGHLY RECOMMENDED I’m very excited to speak about him as a Bitcoin Recovery agent, this cyber security company was able to assist me in recovering my stolen funds in cryptocurrency. I’m truly amazed by their excellent service and professional work. I never thought I could get back my funds until I approached them with my problems and provided all the necessary information. It took them time to recover my funds and I was amazed. Without any doubt, I highly recommend Sylvester for your BITCOIN, USDC, USDT, ETH Recovery, for all Cryptocurrency recovery, digital funds recovery, hacking Related issues, contact Sylvester Bryant professional services waapp only= +1 512 577 7957 or + 44 7428 662701 EMAIL = [email protected]

  • 06.12.25 01:48 Tonerdomark

    SYLVESTER BRYANT WAS A PROFESSIONAL/ RELIABLE HACKER AND HIGHLY RECOMMENDED I’m very excited to speak about him as a Bitcoin Recovery agent, this cyber security company was able to assist me in recovering my stolen funds in cryptocurrency. I’m truly amazed by their excellent service and professional work. I never thought I could get back my funds until I approached them with my problems and provided all the necessary information. It took them time to recover my funds and I was amazed. Without any doubt, I highly recommend Sylvester for your BITCOIN, USDC, USDT, ETH Recovery, for all Cryptocurrency recovery, digital funds recovery, hacking Related issues, contact Sylvester Bryant professional services waapp only= +1 512 577 7957 or + 44 7428 662701 EMAIL = [email protected]

  • 06.12.25 10:36 Thomas Muller

    YOU CAN REACH OUT TO GREAT WHIP RECOVERY CYBER SERVICES FOR HELP TO RECOVER YOUR STOLEN BTC OR ETH BACK WHATSAPP +1(208)713-0697 I once fell victim to online investment scheme that cost me a devastating €254,000. I’m Thomas Muller from Berlin, Germany. The person I trusted turned out to be a fraud, and the moment I realized I’d been deceived, my entire world stopped. I immediately began searching for legitimate ways to recover my funds and hold the scammer accountable. During my search, I came across several testimonies of how Great Whip Recovery Cyber Services helped some people recover money they lost to cyber fraud, I contacted Great Whip Recovery Cyber Service team and provided all the evidence I had. Within about 36 hours, the experts traced the digital trail left by the fraudster, the individual was eventually tracked down and I recovered all my money back. You can contact them with,  website https://greatwhiprecoveryc.wixsite.com/greatwhip-site  text +1(406)2729101 email [email protected]

  • 06.12.25 10:36 Thomas Muller

    YOU CAN REACH OUT TO GREAT WHIP RECOVERY CYBER SERVICES FOR HELP TO RECOVER YOUR STOLEN BTC OR ETH BACK WHATSAPP +1(208)713-0697 I once fell victim to online investment scheme that cost me a devastating €254,000. I’m Thomas Muller from Berlin, Germany. The person I trusted turned out to be a fraud, and the moment I realized I’d been deceived, my entire world stopped. I immediately began searching for legitimate ways to recover my funds and hold the scammer accountable. During my search, I came across several testimonies of how Great Whip Recovery Cyber Services helped some people recover money they lost to cyber fraud, I contacted Great Whip Recovery Cyber Service team and provided all the evidence I had. Within about 36 hours, the experts traced the digital trail left by the fraudster, the individual was eventually tracked down and I recovered all my money back. You can contact them with,  website https://greatwhiprecoveryc.wixsite.com/greatwhip-site  text +1(406)2729101 email [email protected]

  • 06.12.25 10:39 michaeldavenport238

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 06.12.25 10:42 michaeldavenport238

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 07.12.25 08:43 Tonerdomark

    SYLVESTER BRYANT WAS A PROFESSIONAL/ RELIABLE HACKER AND HIGHLY RECOMMENDED I’m very excited to speak about him as a Bitcoin Recovery agent, this cyber security company was able to assist me in recovering my stolen funds in cryptocurrency. I’m truly amazed by their excellent service and professional work. I never thought I could get back my funds until I approached them with my problems and provided all the necessary information. It took them time to recover my funds and I was amazed. Without any doubt, I highly recommend Sylvester for your BITCOIN, USDC, USDT, ETH Recovery, for all Cryptocurrency recovery, digital funds recovery, hacking Related issues, contact Sylvester Bryant professional services waapp only= +1 512 577 7957 or + 44 7428 662701 EMAIL = [email protected]

  • 02:17 liam

    I recently fell a victim of cryptocurrency investment and mining scam, I lost almost all my life savings to BTC scammers. I almost gave up because the amount of crypto I lost was too much. So I spoke to a friend who told me about ANTHONYDAVIESTECH company. I Contacted them through their email and i provided them with the necessary information they requested from me and they told me to be patient and wait to see the outcome of their job. I was shocked after two days my Bitcoin was returned to my Wallet. All thanks to them for their genius work. I Contacted them via Email: anthonydaviestech @ gmail . com all thanks to my friend who saved my life

  • 09:07 Tonerdomark

    SYLVESTER BRYANT WAS A PROFESSIONAL/ RELIABLE HACKER AND HIGHLY RECOMMENDED I’m very excited to speak about him as a Bitcoin Recovery agent, this cyber security company was able to assist me in recovering my stolen funds in cryptocurrency. I’m truly amazed by their excellent service and professional work. I never thought I could get back my funds until I approached them with my problems and provided all the necessary information. It took them time to recover my funds and I was amazed. Without any doubt, I highly recommend Sylvester for your BITCOIN, USDC, USDT, ETH Recovery, for all Cryptocurrency recovery, digital funds recovery, hacking Related issues, contact Sylvester Bryant professional services waapp only= +1 512 577 7957 or + 44 7428 662701 EMAIL = [email protected]

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